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<h3 class="heading"><span class="type">Paragraph</span></h3>
<p>Then, the second solution is</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation*}
{\bf x}^{(2)}=t \vec{\xi}+\vec{\eta}=t \left(
\begin{array}{c}
1\\
2
\end{array}
\right)+\left(
\begin{array}{c}
0\\
-1/2
\end{array}
\right).
\end{equation*}
</div>
<p class="continuation">It can be shown that <span class="process-math">\(W[{\bf x}^{(1)}, {\bf x}^{(2)}] \neq 0\text{,}\)</span> thus the general solution is</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation*}
{\bf x}=C_1  \left(
\begin{array}{c}
1\\
2
\end{array}
\right)+C_2 \left[t \left(
\begin{array}{c}
1\\
2
\end{array}
\right)+\left(
\begin{array}{c}
0\\
-1/2
\end{array}
\right) \right]
\end{equation*}
</div>
<span class="incontext"><a href="sec6_4.html#p-276" class="internal">in-context</a></span>
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